In a discussion of SAT scores, someone comments: “Because only a minority of high school students take the test, the scores overestimate the ability of typical high school seniors. The mean SAT...

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Extracted text: In a discussion of SAT scores, someone comments: “Because only a minority of high school students take the test, the scores overestimate the ability of typical high school seniors. The mean SAT Mathematics score is about 475, but I think that if all seniors took the test, the mean score would be no more than 450." You arrange to give the test to an SRS of 500 seniors from California. These students had a mean score of = 461. 25. Assume that the population standard deviation is o = 100. Is this good evidence against the claim that the mean for all California seniors is no more than 450 at 1% significance level?